Geodesic
Kinetic equations with allowance for long-wavelength statistical coupling and large-scale fluctuations in~a~gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 273-288

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Method of deriving functional kinetic equations for probability distribution of macroscopic density of one-particle states of a gas is suggested. The equations are used to prove the $H$-theorem for the evolution of strongly correlated initial states of a gas in the presence of long scale fluctuations in a system. 
@article{TMF_1980_43_2_a9,
     author = {O. A. Grechannyi},
     title = {Kinetic equations with allowance for long-wavelength statistical coupling and large-scale fluctuations in~a~gas},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {273--288},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a9/}
}
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O. A. Grechannyi. Kinetic equations with allowance for long-wavelength statistical coupling and large-scale fluctuations in~a~gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 273-288. http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a9/